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These are the notes of Exam Paper of Physics. Key important points are: Free Body Diagram, Forces Acting, Constant Horizontal Force, Wind Resistance, Vertical Direction, Resultant Acceleration, Horizontal and Vertical Directions
Typology: Exams
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Question 1. [26 marks] A ball of mass m=215g is released from rest at a height 1.50m above the ground. A wind blows, imparting a constant horizontal force of 0.260N. Ignore wind resistance in the vertical direction. (a) Draw a free-body diagram for the ball, indicating the forces acting. (b) Find the resultant acceleration of the ball, expressing your answer in terms of components along the horizontal and vertical directions (
!
r i and !
r j , respectively). (c) Derive the trajectory of the ball (i.e., vertical position position x ) AND sketch it. y as a function of horizontal (d) Find the horizontal distance travelled by the ball before impact with the ground AND find the angle of impact. (e) Determine the speed of the ball immediately before impact.
Question 2. [28 marks]
An experiment is designed to measure the speed of a bullet. The bullet is to be fired into a wooden block which is free to move on a horizontal surface, finally compressing a spring. The masses of the bullet and block are !
(^) mb =3.62g and !
Hooke's law ( F=-kx ) when it is compressed or stretched up to 14.6cm.^^ mw =1.43kg, respectively. The spring is found to conform to (a) First, the spring constant 8.32cm when the wooden block hangs from it. Use this information to calculate the value of k has to be determined. It is found that the spring is stretched k. (b) The bullet is fired into the block, becoming lodged in it, and the combined block+bullet moves a distance 33.2cm before compressing the spring a maximum of 12.3cm. The horizontal surface is considered to be frictionless. Giving reasons for your working, find: (i) the speed of the combined block+bullet immediately before the spring is compressed; (ii) the initial speed of the bullet. (c) An additi effects of friction between the block and surface in determination of the speed of the bullet.onal experiment is set up to test whether or not it was reasonable to ignore the The block (with bullet lodged inside) is pushed against the spring, compressing On release, the block travels 66.2cm along the horizontal surface before coming to rest. it 10.0cm.
mb mw k !
u
(i) Find the coefficient of kinetic friction !
μ k. (ii) How much mechanical energy was lost in the original experiment due to fric between the block and surface? tion
Question 3. [23 marks] A very small constant angular block velocity of mass m moves with
!
circle of radius r on the inside wall of a funnel,^ " in^ a^ horizontal as shown in the figu makes an angle re. The wall of the funnel
!
frictionless contact between the funnel and the^ " with the vertical. Assuming block:
(a) Draw a free-body diagram for the block, clearly indicating the forces acting. (b) Which of the forces from (a) is responsible for keeping the block moving in a circle? (c) Derive an expression for the angular velocity !
the angle^ "in terms of the acceleration due to gravity^ g , !
", and the radius r. Question 4. [23 marks]
An ideal gas is enclosed by a cylinder with a movable piston. The cylinder is submerged in a mixture of water and steam at 100 oC. The piston is pulled rapidly, increasing the volume of the gas. The piston is held still until the temperature of the gas is again100 to the original position. 52.0g of water in the mixture vaporise in the process. oC. Then it is slowly pushed back (a) Sketch the process on a PV diagram. (b) Find the heat transferred to the gas.
90 o-θ
m r cross view-sectional
gas water + steam